106242114 has 48 divisors (see below), whose sum is σ = 237484800. Its totient is φ = 31653600.

The previous prime is 106242107. The next prime is 106242127. The reversal of 106242114 is 411242601.

It is a happy number.

It is a super-2 number, since 2×106242114² = 22574773574377992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43087 + ... + 45485.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^106242114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106242114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

106242114 is an abundant number, since it is smaller than the sum of its proper divisors (131242686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106242114 is a wasteful number, since it uses less digits than its factorization.

106242114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 106242114 is about 10307.3815297582. The cubic root of 106242114 is about 473.6224004092.

Adding to 106242114 its reverse (411242601), we get a palindrome (517484715).

The spelling of 106242114 in words is "one hundred six million, two hundred forty-two thousand, one hundred fourteen".